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Exponential Equations and Functions

For Teachers Higher Ed
In this college level Pre-Calculus worksheet, students solve problems involving exponential functions.  Students determine the domain, range, y-intercept and asymptotes of exponential functions. The three page worksheet contains...
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An Introduction to Functions

For Teachers 9th - 11th
Students investigate the growth and decay of an exponential function. In this algebra lesson, students apply properties of exponent solve problems. They identify any patterns they see in the graphs.
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Functions of Two Variables

For Students Higher Ed
For this function of two variables worksheet, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...
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Quadratic Functions - Max and Min

For Teachers 9th - 11th
Pupils identify the maxima and minima of quadratic functions. After a teacher explanation and demonstration of quadratic functions, students solve quadratic equations and graph the solution to find the maxima and minima of each...
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Math Worksheet: Graphs of Rations Functions (2)

For Students 11th
In this Algebra II worksheet, 11th graders examine a rational function as they determine the domain, vertical asymptotes, x- and y-intercepts and graph the function.  The two page worksheet contains five problems that relate to the...
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Real Life Graphs

For Students 9th - 11th
In this real life graphs worksheet, students examine graphs and determine the equation of a line. They interpret distance time graphs and draw graphs to match a real life situations. This three-page worksheet contains 3 multi-step problems.
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Composite Functions

For Teachers 8th - 10th
Students create a poster to explain composite functions. In this composite function worksheet, students explore linear equations and functions. They complete a worksheet and use manipulatives to complete problems.
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Senior Analysis: Review Functions and Tangents

For Students 10th - 12th
In this function learning exercise, students find the equation of a line tangent to a given function. They identify the derivative of functions, This one-page learning exercise contains 11 multi-step problems. Answers are provided on...
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Products of Linear Functions

For Teachers 8th - 10th
Students investigate the horizontal intercepts of functions. In this algebra lesson, students identify whether the factor of two functions results in a quadratic equation or not. They compare and contrast linear equations and higher...
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Comparing Exponential and Power Functions

For Teachers 9th - 12th Standards
Students compare and contrast exponential and power functions. In this precalculus lesson, students identify the value of x, using the graph as a visual. They compare functions with base of greater than one, to base of less than one.
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Graphing Review

For Students 10th - 12th
in this graphing review activity, students solve a variety of problems such as interpreting parabolas, identifying intercepts and asymptotes, and identifying functions. They solve piecewise functions and rational functions. This twenty...
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Generating Points and Graphing

For Teachers 7th - 9th
Students create a table of values to help them plot. In this algebra instructional activity, students plot their points on a coordinate plane creating a graph. They observe and analyze linear functions.
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Logarithmic Functions

For Students 9th - 11th
In this logarithms functions worksheet, students learn about logarithms and answer 13 questions pertaining to logarithms. This worksheet contains the link to a website with additional information.
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Chapter 3: Worksheet 3A Functions

For Students 10th - 11th
In this function worksheet, students sketch functions, label the graph, and plot points on a coordinate plane. This one-page worksheet contains 22 problems.
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Graphing Functions

For Students 11th - Higher Ed
In this graphing functions worksheet, students solve and complete 16 various types of problems. First, they evaluate each of the limits provided. Then, students graph each of the functions and their asymptotes as given.
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Exploring Trigonometric Functions

For Teachers 9th - 12th
High schoolers are introduced to the characteristics of trigonometric functions. In groups, they analyze graphs of sine and cosine to determine the lengths of a triangle. They compare and contrast the graphical and numerical...
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Chapter 12 - Objective 1.1 Function

For Students 11th - 12th
In this function learning exercise, students solve functions with a given input value. Afterward, they graph the function. This one-page learning exercise contains nine problems.
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Using Graphs and Charts

For Teachers 1st - 3rd
Students complete T charts and manipulate numbers using graphs and charts. In this math graphs and charts lesson, students review the concepts of pattern and function. Students then complete practice pages where they manipulate numbers...
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Some Explorations With Even And Odd Functions

For Teachers 11th - 12th
For this math worksheet, students explain relationships that define even functions. They give the reason that given functions are even functions. Students describe even and odd functions.
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Functions and Logarithms - Week 4

For Students 11th - Higher Ed
For this function and logarithm worksheet, students solve function problems by finding the sum of the digits. They use logarithms to solve graphing problems and find the number of prime numbers. This three-page worksheet contains eight...
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Graphing Trig Functions

For Students 11th
In this graphing trigonometric functions worksheet, 11th graders solve and complete 10 various types of problems. First, they graph each functions as shown. Then, students find the domain in each given function. In addition, they find...
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Rational Functions

For Students 11th - 12th
In this Algebra II/Pre-calculus worksheet, students solve and graph rational equations, identifying the intercepts and asymptotes. The six page worksheet contains nine problems. Answers are not provided.
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Algebra—Quadratic Equations and Functions

For Teachers 8th - 12th
Students use given information on wind speed with the quadratic formula to determine the pressure of the wind on a building. In this quadratic equations lesson, students compute the pressure of the wind from two data tables. They graph...
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Introduction to Inverse Functions

For Teachers 10th - 12th
Students investigate patterns of inverse functions. In this algebra lesson, students represent functions with the calculator and on paper. They analyze their data and draw conclusions.

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